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Finding the Fourth Proportional to 2,790.06, 4,184.33 and 940.78

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Solution

The fourth proportional to 2,790.06, 4,184.33 and 940.78 is: 1,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.06 : 4,184.33 = 940.78 : x
  2. Step 2: Convert to fraction form
    2,790.06/4,184.33 = 940.78/x
  3. Step 3: Cross multiply
    2,790.06x = 4,184.33 × 940.78
  4. Step 4: Simplify right side
    2,790.06x = 3,936,534.50
  5. Step 5: Solve for x
    x = 3,936,534.50/2,790.06
  6. Step 6: Final answer
    x = 1,410.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.